А. М. Савчук

1.4k total citations
52 papers, 666 citations indexed

About

А. М. Савчук is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, А. М. Савчук has authored 52 papers receiving a total of 666 indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Mathematical Physics, 23 papers in Applied Mathematics and 19 papers in Computational Theory and Mathematics. Recurrent topics in А. М. Савчук's work include Spectral Theory in Mathematical Physics (38 papers), Numerical methods in inverse problems (16 papers) and Differential Equations and Boundary Problems (16 papers). А. М. Савчук is often cited by papers focused on Spectral Theory in Mathematical Physics (38 papers), Numerical methods in inverse problems (16 papers) and Differential Equations and Boundary Problems (16 papers). А. М. Савчук collaborates with scholars based in Russia, Tajikistan and Switzerland. А. М. Савчук's co-authors include А. А. Шкаликов, Андрей Андреевич Шкаликов, Thomas Kappeler and Peter Topalov and has published in prestigious journals such as Russian Mathematical Surveys, Functional Analysis and Its Applications and Sbornik Mathematics.

In The Last Decade

А. М. Савчук

47 papers receiving 573 citations

Peers

А. М. Савчук

CTM

SNP

Natalia P. Bondarenko Russia

Johann Walter Germany

Leiga Zhao China

Eduard Tsekanovskiı̆ United States

O. Sh. Mukhtarov Türkiye

M. Faierman South Africa

Christian Remling Germany

Benedetta Noris Italy

Reinhard Mennicken Germany

Jan Janas Poland

Natalia P. Bondarenko Russia

А. М. Савчук

552 ×0.9

194 ×0.6

317 ×1.0

CTM

63 ×0.9

SNP

13 ×0.4

Citations per year, relative to А. М. Савчук А. М. Савчук (= 1×) peers Natalia P. Bondarenko

Countries citing papers authored by А. М. Савчук

Since Specialization

Citations

This map shows the geographic impact of А. М. Савчук's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by А. М. Савчук with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites А. М. Савчук more than expected).

Fields of papers citing papers by А. М. Савчук

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by А. М. Савчук. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by А. М. Савчук. The network helps show where А. М. Савчук may publish in the future.

Co-authorship network of co-authors of А. М. Савчук

This figure shows the co-authorship network connecting the top 25 collaborators of А. М. Савчук. A scholar is included among the top collaborators of А. М. Савчук based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with А. М. Савчук. А. М. Савчук is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Савчук, А. М., et al.. (2024). Spectral Analysis of 1D Dirac System with Summable Potentialand Sturm–Liouville Operatorwith Distribution Coefficients. Differential Equations. 60(S2). 145–348. 1 indexed citations

Савчук, А. М., et al.. (2024). The Operator Group Generated by the One-dimensional Dirac System. Lobachevskii Journal of Mathematics. 45(9). 4582–4598. 1 indexed citations

Савчук, А. М. & А. А. Шкаликов. (2020). Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Sbornik Mathematics. 211(11). 1623–1659. 18 indexed citations

Савчук, А. М., et al.. (2020). Spectral Analysis of One-Dimensional Dirac System with Summable Potential and Sturm- Liouville Operator with Distribution Coefficients. 66(3). 373–530. 4 indexed citations

Савчук, А. М., et al.. (2018). Uniform Basis Property of the System of Root Vectors of the Dirac Operator. 64(1). 180–193. 1 indexed citations

Савчук, А. М., et al.. (2017). След порядка $(-1)$ для струны с сингулярными весом. Математические заметки. 102(2). 197–215.

Савчук, А. М. & Андрей Андреевич Шкаликов. (2017). Spectral properties of the complex airy operator on the half-line. Functional Analysis and Its Applications. 51(1). 66–79. 14 indexed citations

Савчук, А. М.. (2017). The Calderon-Zygmund Operator and Its Relation to Asymptotic Estimates for Ordinary Diﬀerential Operators. 63(4). 689–702. 1 indexed citations

Савчук, А. М., et al.. (2017). Trace of order (−1) for a string with singular weight. Mathematical Notes. 102(1-2). 164–180. 4 indexed citations

10.

Савчук, А. М., et al.. (2016). Multicriteria Synthesis of Trajectory Adaptation Rules for the Three Channel Stabilization System Parameters of Unmanned Aircraft. Herald of the Bauman Moscow State Technical University Series Instrument Engineering. 1 indexed citations

11.

Kappeler, Thomas, et al.. (2014). Интерполяция нелинейных отображений. Математические заметки. 96(6). 896–904. 2 indexed citations

12.

Савчук, А. М. & А. А. Шкаликов. (2013). On the interpolation of analytic mappings. Mathematical Notes. 94(3-4). 547–550. 4 indexed citations

13.

Савчук, А. М., et al.. (2013). Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential. Differential Equations. 49(5). 545–556. 9 indexed citations

14.

Савчук, А. М. & Андрей Андреевич Шкаликов. (2013). Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces. Proceedings of the Steklov Institute of Mathematics. 283(1). 181–196. 8 indexed citations

15.

Савчук, А. М.. (2008). A mapping method in inverse Sturm-Liouville problems with singular potentials. Proceedings of the Steklov Institute of Mathematics. 261(1). 237–242. 1 indexed citations

16.

Савчук, А. М. & Андрей Андреевич Шкаликов. (2006). О собственных значениях оператора Штурма - Лиувилля с потенциалами из пространств Соболева. Математические заметки. 80(6). 864–884. 25 indexed citations

17.

Савчук, А. М. & Андрей Андреевич Шкаликов. (2003). Sturm-Liouville operators with distributional potentials. 64. 143–192. 76 indexed citations

18.

Савчук, А. М.. (2001). Операторы Штурма-Лиувилля с сингулярными потенциалами. 11 indexed citations

19.

Савчук, А. М.. (2001). On the Eigenvalues and Eigenfunctions of the Sturm--Liouville Operator with a Singular Potential. Mathematical Notes. 69(1-2). 245–252. 15 indexed citations

20.

Савчук, А. М. & А. А. Шкаликов. (2001). Trace Formula for Sturm--Liouville Operators with Singular Potentials. Mathematical Notes. 69(3-4). 387–400. 27 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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